Biden has regularly been above 30% in national polling since announcing his candidacy in April, with his nearest competitor trailing by double-digits. But there hasn’t been high-quality polling in Iowa since his entry to the race.

Most of the historically-large field will be appearing in Iowa Sunday night at a major Democratic Party fundraiser in Cedar Rapids, but Biden will not be among them because of family obligations. He’s expected to visit Iowa on Tuesday, the same day President Donald Trump plans to attend a private fundraiser in the state.

The Iowa poll results combine likely in-person attendees and likely virtual caucusgoers according to the delegate allocation rules the Iowa Democratic Party has submitted to the Democratic National Committee.

Behind the top five, support drops precipitously: Two candidates (former Texas congressman Beto O’Rourke and Minnesota Sen. Amy Klobuchar) land at 2% each, the rest hold 1% support or less.

The poll is the first from CNN and the Des Moines Register since the Iowa Democratic Party formally proposed rules for its new virtual caucus. The rules allocate 90% of state delegate equivalents based on the results among those who caucus in-person, while 10% will be based on the results among those who caucus virtually, regardless of the actual number of people who choose to participate each way.

According to the poll, 28% of those who say they are definitely or probably going to participate at this point say they are likely to do so virtually. Although Biden fares better among likely virtual participants (33%) than among likely in-person caucusgoers (23%), combining likely caucus participants’ preferences according to the new rules does not move the numbers meaningfully for any candidate from what they would have been if the 90 to 10 ratio had not been applied.

But those rules could bring a slew of new people to the caucuses next February. Those who say they are likely to participate virtually are more likely to be first-time caucus attendees (52% vs. 17% of those who say they’ll attend in-person), they are more apt to be registered as independents (31% vs. 11% among likely in-person attendees) and they are younger (63% under age 45 vs. 51% among in-person attendees).

Beyond Biden’s lower overall support, the poll also suggests some warning signs for him beneath those numbers. His supporters are less apt than others to say they are “extremely enthusiastic” about him (29% vs. 39% for backers of all other candidates, and 43% among those backing his nearest competition in Sanders, Warren or Buttigieg). He also remains the best-known candidate in the field, suggesting he has less room to grow than other candidates who Iowa’s Democratic caucusgoers are still getting to know.

The closer contest in Iowa also suggests a steeper challenge for 2016 runner-up Sanders than he faces elsewhere. In most national polling, he has held second place solo or been competitive with Biden, as he has in earlier Iowa surveys. In this poll, Sanders fares better with those who are less committed to showing up on caucus night. Among those who say they will probably attend in-person, he stands at 20%, while among those who say they are definite attenders, he’s at 14%. That pattern holds among those who plan to attend virtually.

The results are also notable for the lack of traction by most of the 23-candidate field tested in the poll. The survey asked likely caucusgoers to name their first and second choice candidates, and then for each other candidate, asked whether the potential caucusgoer was “actively considering” that candidate, or not.

Among likely in-person caucusgoers, only five candidates were in active consideration by a majority: Biden (61%), Warren (61%), Sanders (56%), Buttigieg (52%) and Harris (52%). The next closest candidates were under active consideration by about 4 in 10: Cory Booker at 43% and O’Rourke at 39%. Among potential virtual caucusgoers, the picture is similar.

What’s notable among both likely in-person and likely virtual caucusgoers is just how few are even considering some of the lower-tier candidates. Thirteen of the 23 tested candidates are under consideration by fewer than 2 in 10 in either group, that includes both candidates who have won election statewide (Jay Inslee, John Hickenlooper, Michael Bennet, Steve Bullock) as well as those who are making outsider bids for the nomination (Andrew Yang, Marianne Williamson, Wayne Messam).

Outside of candidate preferences, about two-thirds of likely caucusgoers, regardless of how they plan to participate, say they would prefer that the winner in Iowa be someone with a strong chance of beating Trump over a candidate who shares their views on major issues.

But when asked to choose among desirable qualities in a candidate, electability ranked fourth on a list of seven for both sets of possible caucus participants. A majority in both groups named integrity a top trait (56% among in-person, 61% among virtual), and 40% in each chose intelligence. Just over a third in each group picked leadership (34% in-person, 36% virtual) and about a quarter picked electability (25% in-person and 23% virtual).

Likely Iowa caucusgoers are divided over how Democrats in Congress ought to handle the possibility of impeachment proceedings for Trump.

About half of likely Iowa caucusgoers (48% regardless of how they plan to participate), say they think Democrats in Congress ought to continue investigating the President rather than move forward on formal impeachment proceedings now. Slightly fewer in each group say they think congressional Democrats would be shirking their constitutional duty if they do not move ahead on impeachment as soon as possible (42% among in-person, 45% among virtual).

When asked by reporters in Iowa Saturday night about the poll’s numbers, Buttigieg said it was “encouraging,” but still “early” in the race.

“Well, I’d say it’s very encouraging. It shows a lot of momentum and it shows that campaigning works. We’ve invested a lot of time and a lot of effort, not just nationally, but getting to be known in Iowa and obviously that’s led to some growth,” he said. “But it’s very early. As you can see, it’s a big field, a lot of jostling. There will be a lot of ups and downs. So one more encouraging data point, but a part of a very, very long road.”

Pete d’Alessandro, a senior Iowa adviser to Sanders’ campaign, said his candidate’s push was happening due to their appeal to new, young voters.

“We’re going to win here and we are successful because we can grow the electorate. We can grow the type of people that go to caucus,” he said. “That’s where the strength is. It’s also — that anyone who’s 21 to 17, because you can caucus at 17 in Iowa if you’re going to be 18 by November. Those are both young people, which we appeal to, but there they’re also new caucusgoers, because they didn’t caucus last time. So they’re part of the new people that we’re bringing into it and, since we do well with them, that’s part of expanding the universe because they’ll be brand new caucusgoers.”

The CNN/Des Moines Register/Mediacom poll was conducted by Selzer & Co. of Des Moines, Iowa, from June 2 through 5 among a random sample of 600 likely Democratic caucus participants reached on landlines or cell phones by a live interviewer. The sample included 433 who said they plan to attend the caucuses in-person and 167 who said they plan to attend virtually. Results for the combined sample of likely caucusgoers have a margin of sampling error of plus or minus 4.0 percentage points; it is 4.7 points for those planning to attend in-person, 7.6 points for those who plan to attend virtually.

CNN’s Dan Merica contributed to this report.

CORRECTION: This story has been updated to correctly identify Trump’s event in Iowa.